{"title":"分数阶边值问题的拓扑度逼近分析","authors":"Taghareed A. Faree, Satish K. Panchal","doi":"10.22457/apam.v25n1a02856","DOIUrl":null,"url":null,"abstract":"This paper investigates the existence and uniqueness of a solution to the boundary value problems involving the Caputo fractional derivative in Banach space. We are applying the topological degree approach and fixed point theorem with topological structures in some appropriate situations. An example is propounded to uphold our outcomes.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Approximative Analysis for Boundary Value Problems of Fractional Order via Topological Degree Method\",\"authors\":\"Taghareed A. Faree, Satish K. Panchal\",\"doi\":\"10.22457/apam.v25n1a02856\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the existence and uniqueness of a solution to the boundary value problems involving the Caputo fractional derivative in Banach space. We are applying the topological degree approach and fixed point theorem with topological structures in some appropriate situations. An example is propounded to uphold our outcomes.\",\"PeriodicalId\":305863,\"journal\":{\"name\":\"Annals of Pure and Applied Mathematics\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/apam.v25n1a02856\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/apam.v25n1a02856","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximative Analysis for Boundary Value Problems of Fractional Order via Topological Degree Method
This paper investigates the existence and uniqueness of a solution to the boundary value problems involving the Caputo fractional derivative in Banach space. We are applying the topological degree approach and fixed point theorem with topological structures in some appropriate situations. An example is propounded to uphold our outcomes.